Solve Rotational Motion: Angular Velocity & Revolution Time

[Aminat269445]

Homework Statement

A merry-go-round has a radius of 5 meters and an angular velocity of 1/4 pii radians per second. How long does it take the merry go round to make one revolution? How many turns per min?

Homework Equations

radius of 5 meters and an angular velocity of 1/4 pii radians per second


3. The attempt at a s
1/4 * 57.295 = 14.323
I am really lost with this problem.

 

[sungod]

If it takes 1 second to go 1/4 pi radians, how long does it take to go 2pi radians (the complete circle)?
theta = omega*t
and theta = 2pi here

If it takes t seconds for one revolution, the number of revolutions/min is 60/t